Least Common Multiple of 155/28, 735/3172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 155/28, 735/3172 quickly i.e. 22785/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 155/28, 735/3172 is 22785/4.

LCM(155/28, 735/3172) = 22785/4

LCM of 155/28, 735/3172

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 155/28,735/3172

Given numbers are 155/28,735/3172

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 155,735

Least Common Multiple of Numerators i.e. LCM of 155,735 is 22785.

GCF of Denominators means GCF of 28,3172 as per the given fractions.

GCF of 28,3172 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 155,735

LCM of Fractions 155/28,735/3172 is 22785/4

5 155, 735
31, 147

∴ So the LCM of the given numbers is 5 x 31 x 147 = 22785

Least Common Multiple of 155,735 with GCF Formula

Least Common Multiple of 155,735 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 155,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(155,735) = 5

common factors(in case of two or more numbers have common factors) = 1

GCF(155,735) x common factors =5 x 1 = 5

LCM(155,735) = ( 155 × 735 ) / 5

LCM(155,735) = 113925 / 5

LCM(155,735) = 22785


Lets's calculate GCF of 28,3172

2 28, 3172
2 14, 1586
7, 793

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22785/4

Therefore the LCM of Fractions 155/28,735/3172 is 22785/4

Greatest Common Factor of 28,3172 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,3172 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 3172

List of positive integer factors of 3172 that divides 3172 without a remainder.

1,2,4,13,26,52,61,122,244,793,1586,3172

Greatest Common Factor

We found the factors 28,3172 . The biggest common factor number is the GCF number.
So the greatest common factor 28,3172 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 155/28, 735/3172

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 155/28, 735/3172?

Answer: LCM of Numerators as per given numbers 155/28, 735/3172 is

LCM of Numerators i.e. for 155,735 is 22785

GCF of denominators i.e. for 28,3172 is 4.

Thus, LCM of Fractions is 22785/4.Finally, LCM of Fractions for 155/28, 735/3172 is 22785/4.